Pre-Algebra Examples

$(30 x^{3} + 50 x) \div 5 x$

Step 1

Rewrite the division as a fraction.

$\frac{30 x^{3} + 50 x}{5 x}$

Step 2

Factor $10 x$ out of $30 x^{3} + 50 x$ .

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Step 2.1

Factor $10 x$ out of $30 x^{3}$ .

$\frac{10 x (3 x^{2}) + 50 x}{5 x}$

Step 2.2

Factor $10 x$ out of $50 x$ .

$\frac{10 x (3 x^{2}) + 10 x (5)}{5 x}$

Step 2.3

Factor $10 x$ out of $10 x (3 x^{2}) + 10 x (5)$ .

$\frac{10 x (3 x^{2} + 5)}{5 x}$

$\frac{10 x (3 x^{2} + 5)}{5 x}$

Step 3

Cancel the common factor of $10$ and $5$ .

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Step 3.1

Factor $5$ out of $10 x (3 x^{2} + 5)$ .

$\frac{5 (2 x (3 x^{2} + 5))}{5 x}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $5 x$ .

$\frac{5 (2 x (3 x^{2} + 5))}{5 (x)}$

Step 3.2.2

Cancel the common factor.

$\frac{5 (2 x (3 x^{2} + 5))}{5 x}$

Step 3.2.3

Rewrite the expression.

$\frac{2 x (3 x^{2} + 5)}{x}$

$\frac{2 x (3 x^{2} + 5)}{x}$

$\frac{2 x (3 x^{2} + 5)}{x}$

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

$\frac{2 x (3 x^{2} + 5)}{x}$

Step 4.2

Divide $2 (3 x^{2} + 5)$ by $1$ .

$2 (3 x^{2} + 5)$

$2 (3 x^{2} + 5)$

Step 5

Apply the distributive property.

$2 (3 x^{2}) + 2 \cdot 5$

Step 6

Multiply $3$ by $2$ .

$6 x^{2} + 2 \cdot 5$

Step 7

Multiply $2$ by $5$ .

$6 x^{2} + 10$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$